Research-Stack/0-Core-Formalism/lean/external/OTOM/RaycastField.lean

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/-
RaycastField.lean - Fixed-Point Raycast Field Propagation
-/
import Semantics.DynamicCanal
import Semantics.LocalDerivative
namespace Semantics.RaycastField
open DynamicCanal
open Semantics.LocalDerivative
abbrev Scalar := Fix16
structure ChannelField where
phase : VecN 3 → Fix16
amplitude : VecN 3 → Fix16
def sampleChannelField (_field : ChannelField) (_time : Scalar) : ChannelField :=
{ phase := fun _ => Fix16.zero, amplitude := fun _ => Fix16.zero }
def amplitudeMean (_field : ChannelField) : Scalar :=
Fix16.zero
def inferLocalDerivativeFromMultiPath (_channel : ChannelField) (_time : Scalar) : LocalDerivative :=
{ jacobian := [[Fix16.zero]], hessian := [[Fix16.zero]], point := VecN.zero, stability := StabilityClass.stable }
end Semantics.RaycastField